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Cubes and Cuboids Questions and Answers

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Question 24 - Sevenoaks School Year 7 Entrance Exam 2023

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Question 40 - Merchant Taylors School 11 Plus Maths Specimen Paper 2

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Question 25 - Merchant Taylors School 11 Plus Maths Specimen Paper 1

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Question 10 - Kent College Canterbury 11 Plus Entrance Examination 2007

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Question 36 - The Manchester Grammar School 2008 11 Plus Arithmetic Part 1

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Properties of Cubes and Cuboids for 11 plus Exam

1. Properties of Cube

Cube: The cube is one of the simplest three-dimensional shapes with the dimensions length, width, and height all of the same size. It has six-square faces, eight vertices, and twelve edges. 

Some real-life examples of cubes are Rubik’s cube, 6-sided dice, etc.

11+ Topicwise Cubes and Cuboids Article image 1

2. Properties of Cuboid

Cuboids: A cuboid is a three-dimensional shape with the dimensions as length, width and height. It has six rectangular faces, eight vertices and twelve edges.

Some simple real-life examples of cuboids are bricks, lunch box, etc.

11+ Topicwise Cubes and Cuboids Article image 2

3. Area and Volume formulas of Cube and Cuboid

Cube 

11+ Topicwise Cubes and Cuboids Article image 3

Side of the cube is a.

Surface area of the cube = 6a²

Volume of the cube = a³

Cuboid 

11+ Topicwise Cubes and Cuboids Article image 4

l, w and h are the dimensions of cuboid

Surface area of cuboid = 2(lw+wh+lh)

Volume of cuboid = l × h

3.1 Example Question on Area and Volume of Cube

Surface area of a cube is 96 cm². Work out the edge and volume of this cube.

Solution :

Surface area of a cube = 6a²

                               96 = 6a²   

                               a² = 96 ÷ 6

                               a² = 16

                          a × a = 4 × 4

                                a = 4 cm

Side of the cube is 4 cm

Volume of a cube = a³

                             = (4)³

                             = 4 × 4 × 4

                             = 64 cm³

3.2 Example Question on Area and Volume of Cuboid

Calculate the volume and surface area of the cuboid shown below.

11+ Topicwise Cubes and Cuboids Article image 5

Solution:

Length of Cuboid (l) =  20 mm

Width of Cuboid  (w) =  4 mm

Height of Cuboid (h) =  12 mm

Volume of Cuboid = l ×w × h

                             = 20 × 4 × 12

                             = 960 mm³

Surface area of cuboid =  2(lw + wh + lh)

                                     = 2 (20 × 4 + 4 × 12 + 12 × 20)

                                     = 2(80 + 48 + 240)

                                     = 368 mm²

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  • Frequently Asked Questions
    What is a good score in 11+ Maths ?

    What counts as a "good" score will vary depending on the school you want to attend. The standardized 11 Plus test score average across the country is roughly 100. The highest average in some areas is 111. The lowest scores would often fall between 60 and 70, while the highest scores would normally fall between 130 and 140. To achieve excellent marks on 11+ Maths Exams, practice 11+ Maths topic-wise questions.

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    What do you need to know for the 11 Plus Maths exam?

    The children must master the following topics for the 11 plus exams

    • Number and place value.
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